Algeba & Trigonometry Enhanced With Graphing Utilities

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Changes to this edition have significantly improved the text's accessibility. Graphing Calculator usage is used to promote mathematical modeling, problem solving and motivating concepts. The trigonometry is first developed through the right angle and then through unit circle. Features a full range of supplements including MathPak.

Preface to the Instructor

ix

Preface to the Student

xiii

List of Application

xxiii

Photo Credits

xxvii

Graphs

1

(96)

Rectangular Coordinates; Graphing Utilities; Scatter Diagrams

2

(13)

Graphs of Equations

15

(14)

Solving Equations

29

(11)

Setting Up Equations; Applications

40

(13)

Solving Inequalities

53

(13)

Lines

66

(17)

Circles

83

(14)

Chapter Review

90

(5)

Chapter Projects

95

(2)

Linear and Quadratic Functions

97

(58)

Functions

98

(17)

Linear Functions and Models

115

(9)

Quadratic Equations and Functions

124

(15)

Quadratic Functions and Models

139

(16)

Chapter Review

150

(4)

Chapter Projects

154

(1)

Functions and Their Graphs

155

(58)

Characteristics of Functions; Library of Functions

156

(22)

Graphing Techniques: Transformations

178

(13)

Operations on Functions; Composite Functions

191

(9)

Mathematical Models: Constructing Functions

200

(13)

Chapter Review

208

(4)

Chapter Projects

212

(1)

Polynomial and Rational Functions

213

(96)

Power Functions and Models

214

(7)

Polynomial Functions and Models

221

(13)

Polynomial Division

234

(6)

The Real Zeros of a Polynomial Function

240

(14)

Complex Numbers; Quadratic Equations with a Negative Discriminant

254

(9)

Complex Zeros; Fundamental Theorem of Algebra

263

(7)

Rational Functions

270

(23)

Polynomial and Rational Inequalities

293

(16)

Chapter Review

302

(5)

Chapter Projects

307

(2)

Exponential and Logarithmic Functions

309

(92)

One-to-One Functions; Inverse Functions

310

(13)

Exponential Functions

323

(14)

Logarithmic Functions

337

(10)

Properties of Logarithms

347

(8)

Logarithmic and Exponential Equations

355

(7)

Compound Interest

362

(10)

Growth and Decay

372

(10)

Exponential, Logarithmic, and Logistic Curve Fitting

382

(19)

Chapter Review

393

(5)

Chapter Projects

398

(3)

Systems of Equations and Inequalities

401

(94)

Systems of Linear Equations: Two Equations Containing Two Variables

402

(11)

Systems of Linear Equations: Three Equations Containing Three Variables